On-device research index

arXiv research

A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.

168,657 papers · 148 categories

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4 results for “REML”

Variational Approximated Restricted Maximum Likelihood Estimation for Spatial Datastat.ML

A scalable method for estimating spatial data using VREML.

problem Costly computation of REML for large, sparse precision matrices in spatial data.

method Proposes VREML framework approximating marginal likelihood with Gaussian variational distribution and deriving a coordinate-ascent algorithm.

result Empirically shows VREML outperforms MLE and INLA.

spatial data variational inference REML Gaussian ICAR coordinate-ascent

2026-04-08abs ↗pdf ↗

Gradient-Flow Optimization as Dynamic Random-Effects Inference: Testing and Early Stopping with Applications to Deep Learningstat.ML

Gradient-flow optimization is reinterpreted as a statistical inference problem.

problem Optimizing training duration and assessing model performance in deep learning.

method Develops a statistical framework for gradient-flow training, treating it as a random-effects model.

result Establishes asymptotic optimality for prediction and reduces reliance on validation splits.

Gradient-flow optimization Deep learning Random-effects model Early stopping Prediction optimality

2026-05-27abs ↗pdf ↗

A Bayesian Updating Framework for Long-term Multi-Environment Trial Data in Plant Breedingstat.ME

Bayesian framework improves variance component estimation in MET data.

problem Inaccurate estimation of variance components in MET data.

method Proposes a Bayesian updating framework using historical data.

result Stabilizes variance component estimation and quantifies uncertainty.

Bayesian updating variance components multi-environment trials plant breeding historical data

2026-04-17abs ↗pdf ↗

Closed-form fractional radial links for elliptical Mahalanobis discriminant analysismath.ST

We derive a new radial link for binary classification under shared elliptical distributions.

problem Binary classification under shared-generator elliptical class-conditional distributions.

method We derive the Bayes radial-link family from the within-class radius law and estimate it by a finite fractional-power stochastic-polynomial projection.

result The derived link is asymptotically Bayes-optimal and significantly better than QDA on various benchmarks.

binary classification elliptical distributions Mahalanobis discriminant analysis radial link stochastic-polynomial projection

2026-07-07abs ↗pdf ↗